Consider the two triangles.

Triangles W U V and X Z Y are shown. Angles V U W and Y X Z are congruent. Angles U W V and X Z Y are congruent. Angles U V W and Z Y X are congruent. The length of side V W is 60 and the length of side Z Y is 48. The length of side Y X is 40 and the length of V U is 50. The length of side U W is 40 and the length of X Z is 32.

How can the triangles be proven similar by the SSS similarity theorem?

Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.
Show that the ratios StartFraction U V Over Z Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over X Y EndFraction are equivalent.
Show that the ratios StartFraction U V Over X Y EndFraction and StartFraction W V Over Z Y EndFraction are equivalent, and ∠V ≅ ∠Y.
Show that the ratios StartFraction U V Over Z Y EndFraction and StartFraction W U Over Z X EndFraction are equivalent, and ∠U ≅ ∠Z.9.8 inches

Answer:

A. 36

Step-by-step explanation:

Because the two angles at the bottom of both the triangles are congruent, the two triangles are similar. Therefore, the corresponding side lengths of the triangles must be proportional to each other

if the area of a triangle is hb/2,

(with h=length of height, b=length of base)

the height of the first triangle is:

25 = 10h/2

50 = 10h

h=5

you can write ratios representing the proportions of the two triangles:

5/x = 10/12 (with x=height of second triangle)

x=6

then find the area of the second triangle with the height (6) and base (12)

(6*12)/2 = 36

Answer:

The graph has random dots all over

Step-by-step explanation:

Answer:

z= [ 5] VI

that is my answer

The slope of the given containing ordered paid A(2,-5) and B(-2,6) is -11/4.

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

slope = (y₂-y₁)/(x₂-x₁)

The slope of the given containing ordered paid A(2,-5) and B(-2,6) is:

Slope = 6+5/-2-2 = 11/-4

Hence, the slope of the given containing ordered paid A(2,-5) and B(-2,6) is -11/4.

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Answer:

The Area of the Grass is 18 square meters.

Step-by-step explanation:

Find the area of the grass and sand (5*6). The area of the grass and sand is 30.

Next, find the area of just the sand (3*4). The area of the sand is 12.

Subtract the area of the sand (12) from the area of the grass and sand (30).

30-12 = 18

Answer:

y = 49.2x+400

Step-by-step explanation:

He deposits 3% of his monthly pay = 0.03*1640 = $49.2 every month = 49.2x

He put $400 when he opened the account so that needs to be added in = 49.2x+400

Suppose that a probability is approximated to be zero based on empirical results, this does not mean that the event is​ impossible.

The likelihood that an event will occur is defined by probability. There are many instances in real life where we may need to make predictions about how something will turn out. The outcome of an event may be known to us or unknown to us.

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

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Answer:

99.93 [tex]m^{2}[/tex]

Step-by-step explanation:

1.  The area of a circle is defined by the equation: A = [tex]\pi r^{2}[/tex]

2. We can plug in the radius and solve the equation: A = [tex]\pi *5.64^{2}[/tex]

3. A = π * 31.8096

4. A = 99.932

5. A = 99.93

Answer:

B. 1

Step-by-step explanation:

Please see attachment.

Hope this helps!

If not, I am sorry.

Answer:

£ 30 345.

Step-by-step explanation:

15 %  off means that 85% is left

42 000 *  .85   *  .85  =  42 000 (.85)^2 =   30 345

Answer:

the answer is 0.5

Step-by-step explanation:

The answer for this is 0.5

el área del pentágono es de 172 centímetros cuadrado.

El área es el espacio ocupado por un objeto bidimensional.

Se calcula en unidades cuadradas.

Se da que , El lado del pentágono mide 10 centímetros

El área del pentágono está dada por

[tex]\rm A = \dfrac{1}{4} \sqrt {5 ( 5 +2\sqrt{5})} \; a^2[/tex]

aquí A es el área

l es la longitud del lado del pentágono

Sustituyendo los valores

[tex]\rm A = \dfrac{1}{4} \sqrt {5 ( 5 +2\sqrt{5})} \; 10^2[/tex]

A = 1.72 * 100

A = 172 centímetro cuadrado

Por lo tanto, el área del pentágono es de 172 centímetros cuadrado.

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Answer:

150 square feet

Step-by-step explanation:

Method 1: The area of a trapezoid is

A = (8 + 17) / 2 x 12 = 150 square feet

Method 2: You can also split it into a rectangle and a triangle.

12 x 8 + 12 x (17 - 8)/2 = 150 square feet

Answer:

The ANSWER is Option A ( 151° ).

.

.

Mark BRAINLIEST!

Using proportions, considering the given ratio, Isabella gets [tex]\frac{4}{7}[/tex] of the total reward.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The ratio of Isabella and Aiden is 4:3, which means that out of 4 + 3 = 7 items, Isabella gets 4 and Aiden gets 3, hence the fraction is given by:

[tex]\frac{4}{7}[/tex].

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The area of the triangle is 83.14 square centimeters.

If an equilateral triangle is inscribed in a circle of radius R, each side of the triangle measures:

S = R*√3

In this case R = 8cm.

And we know that the area of an equilateral triangle of side length S is:

[tex]A = \frac{\sqrt{3} }{4} *S^2[/tex]

Replacing what we know in the area formula:

[tex]A = \frac{\sqrt{3} }{4} *(\sqrt{3}*8cm)^2 = 83.14 cm^2[/tex]

The area of the triangle is 83.14 square centimeters.

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Answer:

456 [tex]cm^{2}[/tex]

Step-by-step explanation:

Find the height of the trapezoid first (QR):

[tex]\sqrt{37^{2} -35^{2} }[/tex] = 12

QR = 12

Area:

[tex]\frac{a+b}{2}[/tex] × h = [tex]\frac{35+41}{2}[/tex] × 12

           = 456 [tex]cm^{2}[/tex]

Answer:

There could be 0, 2, or 4 complex solutions

Step-by-step explanation:

The Fundamental Theorem of Algebra states that any polynomial with n degree will have n solutions So since the degree of the polynomial you provided has a degree of 4, that means there are 4 possible solutions. This question specifically asks for complex zeroes. Complex zeroes come in conjugate pairs, so that means if you have one complex zero, there is another complex zero which is it's conjugate. For this reason, there can only be an even number of complex zeroes. And since there's 4 possible solutions, There could be 0, 2, or 4 complex solutions

An expression is defined as a set of numbers, variables, and mathematical operations. The simplification of the expression [(6x)²+x-7)/(12x²+14x) is (36x²+x-7)/[2(6x²+7x)].

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The simplification of the given expression can be done as,

[tex]\dfrac{(6x)^2+x-7}{12x^2+14x}\\\\\\=\dfrac{36x^2+x-7}{12x^2+14x}\\\\\\=\dfrac{(6x)^2+x-7}{2(6x^2+7x)}[/tex]

Hence, the simplification of the expression [(6x)²+x-7)/(12x²+14x) is (36x²+x-7)/[2(6x²+7x)].

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The expression that represents the given algebraic tiles is 2x² + 6x + 6

An equation is an expression that shows the relationship between two or more numbers and variables.

The expression for the given algebraic tiles is:

Total = x + x + x + 1 + 1 + 1 + x² + x + x + x + 1 + 1 + 1 + x² = 2x² + 6x + 6

The expression that represents the given algebraic tiles is 2x² + 6x + 6

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Answer:

e) cannot be determined

Step-by-step explanation:

hope this helps!!

Answer:

d. 40 feet

Step-by-step explanation:

Perimeter = 140 ft

Width = L + 10

P = 2w + 2L

140 = 2(L + 10) + 2L

140 = 2L + 20 + 2L

120 = 4L

L = 30

w = L + 10

w = 30 + 10

w = 40

An expression is defined as a set of numbers, variables, and mathematical operations. The correct options are A, C, and E.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

To know the expressions that are equivalent to 22c+33d, all the expressions in the options are needed to be simplified.

Let simplify each of the given opion,

A.) (−2c−3d)(−11) = 22c + 33d

B.) 2(11c− 33/2) d = 22c - 33d

C.) (66c+99d)⋅1/3 = 22c + 33d

D.) −1×(−22−33d) = 22 + 33d

E.) 11⋅(2c+3d) = 22c + 33d

Hence, the correct options are A, C, and E.

The complete question is:

Which expressions are equivalent to 22c + 33d?

A. (−2c−3d)(−11)

B. 2(11c− 33/2 d

C. (66c+99d)⋅1/3

D. −1×(−22−33d)

E. 11⋅(2c+3d)

choose 3 answers

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The possible values of tan^-1(1) are (3π + 4n)/4

The expression is given as:

tan^-1(1)

To determine the possible values, we plot the graphs of

y = tan(x) and y = 1

From the graph, we have the following values

tan^-1(1) = (3π + 4n)/4 when n = ±{0,1,2....}

Hence, the possible values of tan^-1(1) are (3π + 4n)/4

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Answer: Likely May through August 2023

Step-by-step explanation: It really depends on the college.

Answer:

y=-3x-2

Step-by-step explanation:

The slope-intercept form is y=mx+b

where m is slope and b is y-intercept.

Substitute m=-3 and point (x,y)=(1,-5) into the equation:

-5=-3(1)+b

-5=-3+b

b=-5-(-3)=-5+3=-2

Therefore, the required equation:

y=-3x-2

Answer:

Cost of per session the average rate is $45.

Step-by-step explanation:

It is given that a gym membership with two personal training session cost $125, while gym membership with five personal training sessions cost $260.

It is required to find what is the cost per session.

Step 1 of 1

It is given that a gym membership with two personal training session cost $125, while gym membership with five personal training sessions cost $260.

To find the cost of per session calculate the average rate.

Now let $f(x)$ be the cost per session use the for the average rate of change, and the input value is the number of personal traings x.

[tex]$m=\frac{f\left(x_{2}\right)-f\left(x_{1}\right)}{x_{2}-x_{1}}$$[/tex]

Now substitute, $125 for [tex]$f\left(x_{2}\right)[/tex], 260 for [tex]$f\left(x_{1}\right), 2$[/tex] for [tex]$x_{1}$[/tex] and 5 for [tex]$x_{2}$[/tex] then,

[tex]$m=\frac{260-125}{5-2}$\$$\begin{aligned}&=\frac{135}{3} \\&=45\end{aligned}$$[/tex]

Cost of per session the average rate is $45.

Answer:

Part A) B

Part B) D

Step-by-step explanation:

Total sweets = 10

Red = 4

Green = 2

Yellow = 3

Purple = 1

A = 2/10 = 1/5

B = 3/10

C = 4/10 = 2/5

D = 1

Yellow sweets = 3

Total = 10

Probability = yellow/total

Hence, B shows the probability of showing a yellow sweet.

Sweets that are not orange = 10 (All sweets are not orange)

Total = 10

Probability = sweets that are not orange / total

Probability = 10 / 10

Hence, D shows the probability of choosing a sweet that is not orange.

[tex]\rule[225]{225}{2}[/tex]

The minimum point on the graph of the equation y=f(x-5) is (-6, -3)

The initial minimum is given as:

(-1, -3)

The transformation y = f(x - 5) means that:

(x, y) = (x - 5, y)

So, we have:

(x, y) = (-1 - 5, -3)

Evaluate

(x, y) = (-6, -3)

Hence, the minimum point on the graph of the equation y=f(x-5) is (-6, -3)

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Answer:

(i) -34° C.
(ii) The temperature had fallen by 11° C.

Step-by-step explanation:

(i) As it's a negative number its like we are adding it so 23 + 11 = 34 and as it is a negative number it would be -23 - 11 = -34 which makes it -34° C.

(ii) We know that the temperature now is -45° C, we need to find out how much the temperature had fallen in the 4 hours which had passed. So what we do is essentially add it considering its a negative number so we add -34 by 11 which equals -45. We do this so we can find out how much the temperature had dropped within the 4 hours and as we know that we needed to add 11 to the previous temperature (-34° C) it means that the temperature has dropped by 11° C.